Quantitative Aptitude - Arithmetic Ability Questions

To go a distance of 40 km upstream a rower takes 8 hours while it takes her only 5 hours to row the same distance downstream. What was the rower's speed in still water?

If a:b = 3:8, find the value of (5a ­ 3b)/(2a + b).

If 1/√(cosec2A - 1) = x, then value of x is

If sinA = x, then x is equal to

An angle is smaller than its supplementary angle by 50°. What is the measure of the angle?

$$\begin{gathered} ∆ABC is similar to ∆PQR. If ratio of perimeters of ∆ABC and ∆PQR is 1:2 and \\ if PQ = 10 cm then what is the length of AB (in cm)? \end{gathered}$$

Profit of Rs 936000 has to be divided among three partners Anirudhha, Balwant and Charudatta in the ratio 2:3:5. How much does Charudatta get?

What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?